Instability and Disturbance of Ferromagnetic Pendulum Oscillations at Magnetic-Orientation Phase Transition Induced by Magnetic Field
DOI:
https://doi.org/10.15407/ujpe69.9.684Keywords:
magnetic pendulum, eigenfrequency, orientational magnetic phase transition, parametric resonance, forced oscillationsAbstract
Nonlinear effects of magnetization and magnetic phase transition on the stability and dynamics of a pendulum made of soft-magnetic ferromagnet have been considered. The pendulum is a beam, with its longitudinal dimension being much larger than the transverse dimensions. It has been shown that the magnetization of the pendulum affects its stability and can lead to a critical change in the pendulum equilibrium state in a magnetic field directed perpendicularly (transversely) to the pendulum. The oscillating system loses its rigidity in the critical field, and the eigenfrequency of mechanical pendulum oscillations tends to zero. The critical character of the influence of the magnetic field on the pendulum occurs due to the magnetic-field-induced orientational magnetic phase transition in the ferromagnetic material of the pendulum, which is accompanied by a change in its magnetic state symmetry. An alternating magnetic field together with a stationary magnetic field induces forced mechanical oscillations of the pendulum if the stationary field strength is larger than a threshold value. If the stationary field is less than the critical one, the alternating magnetic field can cause the parametric resonance of the mechanical oscillations of the pendulum.
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